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what is the solution to these problems? A potential difference of 99 mV exists b

ID: 1676568 • Letter: W

Question

what is the solution to these problems? A potential difference of 99 mV exists between the inner and outer surfacesof a cell membrane. The inner surface is negative relative to theouter surface. How much work is required to eject a positive sodiumion (Na+) from the interior of the cell?
J A point charge of 4.00 X10-9 C is located at the origin. How much work isrequired to bring a positive charge of 1.00 X 10-9 C from infinity to thelocation x = 30.0 cm?
J what is the solution to these problems? A potential difference of 99 mV exists between the inner and outer surfacesof a cell membrane. The inner surface is negative relative to theouter surface. How much work is required to eject a positive sodiumion (Na+) from the interior of the cell?
J A point charge of 4.00 X10-9 C is located at the origin. How much work isrequired to bring a positive charge of 1.00 X 10-9 C from infinity to thelocation x = 30.0 cm?
J

Explanation / Answer

Potential difference V = 99 mV = 0.099 V

Charge of sodium ion q = 1.6 * 10 ^ -19 C

Required work W = V q

                              =1.584 * 10 ^ -20 J

(b). charge q = 4 * 10 ^ -9 C

Potential at a distance x= 30 cm ( = 0.3 m) is V = Kq /x

Where K = 8.99 * 10 ^ 9 N m^ 2/ C ^ 2

Plug the values we get V = 119.86 Volt

Charge   Q= 1 * 10^ -9 C

Required work done W = V Q

                                      = 119.86 * 10 ^ -9 J